SOLUTION: Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.025 significance level.
The null and alternative hypothesis
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Question 1159277: Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.025 significance level.
The null and alternative hypothesis would be:
a)H0:μO≤μC
H1:μO>μC
b)H0:μO=μC
H1:μO≠μC
c)H0:μO≥μC
H1:μO<μC
d)H0:pO≤pC
H1:pO>pC
e)H0:pO≥pC
H1:pO
f)H0:pO=pC
H1:pO≠pC
The test is:
A)right-tailed
B)two-tailed
C)left-tailed
The sample consisted of 55 Orange Coast students, with a sample mean GPA of 2.75 and a standard deviation of 0.02, and 55 Coastline students, with a sample mean GPA of 2.76 and a standard deviation of 0.06.
The test statistic is: ________________(to 2 decimals)
The p-value is:__________________(to 2 decimals)
Based on this we:
A)Reject the null hypothesis
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
because expect O to be < C, make Ho: O is >= C and Ha: O is less than C which is C for the letter choice
it is a left-tail test, because we expect the change to be on the left or negative side.
the test statistic is t=-1.17, p-value is 0.12
Fail to reject Ho: insufficient evidence to conclude that mu O is less than mu C.
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